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Question 1176080: Direction: Solve the following problems using inverse function. Show your solution.
1. A bus ride costs PhP 10.00 for the first 5 kilometers, and its additional integer
kilometer adds PhP 1.75 to the fare. How far can you reach if you have
PhP 185.00 budget for the fare?
2. Jeenay, a sales agent, earns PhP17 000.00 monthly plus 18% of his total sales
for the month. If she earns a total of PhP 26 000.00 for the month, how much is
her total sales?
3. In a carwash center, an employee received PhP 200.00 plus PhP 75.00 per car
he washed per day. If his total earnings for the day is PhP 650.00, how many cars did he wash.
This is the answer only solution that I needed
1. 105 km
2. PhP 50 000.00
3. 6 cars
Click here to see answer by ikleyn(52763)  |
Question 1176645: A farmer is going to divide her 50 acre farm between two crops. Seed for crop A costs $50 per acre. Seed for crop B costs $25 per acre. The farmer can spend at most $2,250 on seed. If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $220 per acre, how many acres of each crop should the farmer plant to maximize her profit? Write the objective function then use the feasible region shown in the graph below to maximize it.
Let x = the number of acres of crop A
Let y = the number of acres of crop B
Objective Function: P =
Constraints:
x≥0, y≥0
x+y≤50
50x+25y2250
The Farmer should Plant acres of crop A and acres of crop B
Click here to see answer by Solver92311(821)  |
Question 1176640: A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 12 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 11 labor-hours for assembly and 1 labor-hours for finishing. The maximum labor hours available per day for assembly and finishing are 500 and 150, respectively. Write a system of linear inequalities that represents this situation.
Assembly:
Finishing:
Click here to see answer by ikleyn(52763)  |
Question 1176482: certain length measurement is performed 100 times The arithmetic mean reading is 10.85 m, and the standard deviation 0.01 m.
How many readings fall within (a) +- 0.001 meters, (b) +- 0.01 meters, and (c) +- 0.1 meters from the mean value?
Also, calculate the tolerance limits for 90 and 95 percent confidence level.
Click here to see answer by Theo(13342)  |
Question 1176740: George plays a game using a biased die which is twice as likely to land on
an even number as on an odd number. The probabilities for the three even
numbers are all equal and the probabilities for the three odd numbers are
all equal.
George throws the die once and calculates his score by the following method.
• If the number lands on is 3 or less, he multiplies the number by 3 and
adds 1.
• If the number lands on is more than 3, he multiplies the number by 2 and
subtracts 4.
George throws the die twice.
(i) Find the probability that the total of the scores on the two throws is
16.
(ii) Given that the total of the scores on the two throws is 16, find the
probability that the score on the first throw was 6.
Click here to see answer by Edwin McCravy(20054)  |
Question 1176750: Solve this problem involving joint variations
The area A of a triangle varies jointly as the base b and the height h. A triangle with a base of 8cm and a height of 9 cm has an are of 36 square centimeters. Find the area A when the base b is 10 cm and the height h is 7cm.
Step 1: Write the correct equation
Step 2: Use information given the problem to find the constant of variation k.
Step 3: Rewrite the equation in step 1 and substitute the value of k found in step 2.
Step 4: Substitute to the given equation the values given in the problem. When solving word problems, remember to include units in your final answer.
Click here to see answer by ewatrrr(24785)  |
Question 1176752: Using k as the constant of variation, write the equation of variation for each following.
1. The current l varies directly as the electromotive force E and inversely as as the resistance R.
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m.
3. The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l.
4. The time t required for an elevator to lift a weight varies directly with the distance d through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their weights w and inversely as the square of the distance d between them.
6. The electrical resistance R of wire varies directly as it's length l and inversely as the square of its diameter d.
7. The acceleration A of a moving objects varies directly as the distance d inversely as the square of the time t.
Click here to see answer by mananth(16946)  |
Question 1176751: Translate the following mathematical statements into mathematical equations and solve the unknown.
1. The current l varies directly as the electromotive force E and inversely as the resistance R. If a current l of 30 amperes flows through a system with 16 ohms resistance R and electromotive force E of 120 volts, find the current l when the system with 20 ohms resistance R and electromotive force E of 200- volt.
Solution 1
Step 1: Translate mathematical statement into mathematical equation
Step 2: Find the constant of variation.
Step 3: Give the equation of the variation.
Step 4: Find the value of unknown variable.
Click here to see answer by Boreal(15235)  |
Question 1176898: Tamara uses a hose to water her garden plants. She holds the hose 0.75 m above the ground so that the water can hit the plants which are 2.0 m away from her. At what speed does the water leave the hose that Tamara holds?
Click here to see answer by ikleyn(52763)  |
Question 1177240: A steam turbine receives water at 15MPa, 600◦C at a rate of 100 kg/s .
In the middle section 20 kg/s is withdrawn at 2 MPa, 350◦C. The rest
exit the turbine at 75 kPa and 95% quality. Assuming no heat transfer and no changes in kinetic energy. Find the
total turbine power out put.
Click here to see answer by Solver92311(821)  |
Question 1177240: A steam turbine receives water at 15MPa, 600◦C at a rate of 100 kg/s .
In the middle section 20 kg/s is withdrawn at 2 MPa, 350◦C. The rest
exit the turbine at 75 kPa and 95% quality. Assuming no heat transfer and no changes in kinetic energy. Find the
total turbine power out put.
Click here to see answer by ikleyn(52763)  |
Question 1177277: A milk processing unit claims that, of the processed
milk converted to powdered milk, 95% does not
spoil. Find the probabilities that among 15 samples of
powdered milk
(a) all 15 will not spoil;
(b) at most 12 will not spoil;
(c) at least 9 will not spoil.
Click here to see answer by ewatrrr(24785)  |
Question 1177276: During inspection of the continuous process of making
large rolls of floor coverings, 0.5 imperfections are
spotted per minute on average. Use the Poison distribution
to find the probabilities
(a) one imperfection in 4 minutes
(b) at least two in 8 minutes
(c) at most one in 10 minutes.
Click here to see answer by ewatrrr(24785)  |
Question 1177288: radar detected an unidentified plane 5000 km away, approaching at 700 kph. Fifteen minutes later, an interceptor plane was dispatched, travelling at 800 kph. How long did the interceptor take tp reach the approaching plane?
Click here to see answer by mananth(16946)  |
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